Adjustable microstrip and stripline tuners

ABSTRACT

The present invention relates to a class of adjustable microstrip and stripline tuners. An exemplary tuner comprises a pair of tuning elements, where each tuning element further comprises a pair of parallel spaced-apart conductive strips of equal length and at least one movable bridging wire connecting the two strips. The movement of the bridging wire will vary the output impedance of the tuning element, and a complementary arrangement of a pair of tuning elements will form a tuner capable of matching any impedance falling within the Smith chart.

BACKGROUND OF THE INVENTION

1. Technical Field

The present invention relates to a class of strip transmission line circuits comprising adjustable microstrip and stripline tuners and, more particularly, to tuners which employ a pair of tuning elements in a complementary arrangement which can be used in combination to match any impedance falling within the Smith chart, each tuning element comprising a pair of adjacent, coupled or uncoupled, parallel conductive strips of equal length with one or two bridging wires, movable metallic blocks or sliding contacts bridging the gap between the strips.

2. Description of the Prior Art

Various microwave devices require the use of adjustable tuners in experimental evaluation of their performance. In the past, microstrip and stripline test fixtures were equipped with transitions to coaxial transmission lines and, therefore, coaxial-line multi-slug or multi-stub tuners could be employed. However, the large separation between the device and the tuner limited its use to frequencies less than 10 GHz. There is a need, therefore, for tuners that may be employed directly with the microstrip and stripline medium to overcome the frequency limitation of the coaxial-line tuners.

One type of tuner that is available for use with microwave transmission lines is disclosed in U.S. Pat. No. 2,757,344 issued to J. Kostriza et al on July 31, 1956, which relates to a tuner that comprises a first wide and a second narrow conductor mounted in parallel on opposite sides of a substrate. A coupling means is longitudinally movable between the adjacent conductors at a distance from the second conductor of the transmission line, and this coupling means forms, in conjunction with the first conductor of the transmission line directly adjacent the tuner, an adjustable resonant network.

The design of stripline filters and directional coupling arrangements are discussed in an article "Coupled-Strip-Transmission-Line Filters and Directional Couplers" by E. M. T. Jones et al. in IRE Transactions on Microwave Theory and Techniques, Vol. MTT-4, No. 2, April 1956 at pp 75-81. There, low-pass, band-pass, all-pass and all-stop basic filter characteristics are obtained from a pair of parallel, spaced-apart, strips either by placing open or short circuits at two of the four available terminal pairs, or by interconnecting two of the terminal pairs. The article further describes how desired performance may be achieved by cascading several of the basic filter sections.

Another design method for a class of stripline filters is discussed in the article "Synthesis of a Class of Strip-Line Filters" by H. Ozaki et al. in IRE Transactions on Circuit Theory, Vol. CT-5, No. 2, June 1958 at pp 104-109. The disclosed method relates to design on an insertion loss basis. Synthesis procedures are presented for the line type, low-pass ladder, high-pass ladder and band-pass ladder filter arrangements. The Ozaki et al. arrangements comprise line or ladder cascaded canonical filter sections with each section comprising a pair of parallel, spaced-apart, strips having either the same or different widths.

The problems remaining in the prior art is to provide a class of tuners which are capable of being formed directly on the microstrip or stripline medium and are also capable of matching any impedance falling within the Smith chart.

SUMMARY OF THE INVENTION

The problem remaining in the prior art has been solved in accordance with the present invention which relates to a class of strip transmission line circuits comprising adjustable microstrip and stripline tuners which employ a pair of tuning elements in a complementary arrangement which can be used in combination to match any impedance falling within the Smith chart, each tuning element comprising a pair of adjacent, coupled or uncoupled, parallel conductive strips of equal length with one or two bridging wires, movable metallic blocks or sliding contacts bridging the gap between the strips.

It is an aspect of the present invention to provide a class of microstrip and stripline tuners that can be formed directly on the substrate, and placed as close to the device being tested as desired without affecting the performance of either the device or the tuner.

Another aspect of the present invention is to provide a tuner which may be connected to the device either through one port to provide an adjustable shunt reactance or through two ports to provide an adjustable two-port reactive network for the device.

Other and further aspects of the present invention will become apparent during the course of the following description and by reference to the accompanying drawings.

BRIEF DESCRIPTION OF THE DRAWINGS

Referring now to the drawings in which like numerals represent like parts in several views:

FIG. 1 is a view in perspective of an exemplary tuning element containing two bridging wires in accordance with the present invention;

FIGS. 2 and 4 illustrate two known alternative configurations of a parallel-strip circuit for use in analysis of various tuner arrangements formed in accordance with the present invention;

FIGS. 3 and 5 illustrate the equivalent circuits of the known parallel-strip circuits associated with FIGS. 2 and 4, respectively, for use in analysis of various tuner arrangements formed in accordance with the present invention;

FIG. 6 illustrates a complete tuner in accordance with the present invention comprising two of the tuning elements of FIG. 1;

FIG. 7 illustrates an all-frequency equivalent circuit of the tuner of FIG. 6;

FIG. 8 illustrates a specific equivalent circuit of the tuner of FIG. 6 for the value of ψ=π/2;

FIG. 9 illustrates a variant of the tuner of FIG. 6;

FIG. 10 illustrates a specific equivalent circuit of the tuner of FIG. 9 for the value of ψ=π/2;

FIG. 11 illustrates another variant of the tuner of FIG. 6;

FIG. 12 illustrates a specific equivalent circuit of the tuner of FIG. 11 for the value of ψ=π/2;

FIG. 13 illustrates the Smith chart coverage associated with the tuners of FIGS. 9-12;

FIG. 14 illustrates another variant of the tuner of FIG. 6;

FIG. 15 illustrates a specific equivalent circuit of the tuner of FIG. 14 for the value of ψ=π/2.

DETAILED DESCRIPTION

FIG. 1 contains an exemplary single parallel-strip tuning element 10 comprising a pair of adjacent, parallel conductive strips of equal length 12 and 14 disposed above a ground plane 13, and a pair of bridging wires 16 and 18 connecting strip 12 to strip 14, bridging wires 16 and 18 being positioned in a manner such that bridging wire 18 is placed to the right of bridging wire 16. Tuning element 10 further comprises four ports 22, 24, 26 and 28, each port disposed at a separate end of strips 12 and 14. For example, ports 22 and 26 are disposed at the left and right ends, respectively, of strip 12 and ports 24 and 28 are disposed at the left and right ends, respectively, of strip 14.

Connecting a single port, e.g., port 22, of tuning element 10 to the device being tested (not shown) enables element 10 to perform as an adjustable single-port shunt reactance, the mobility of bridging wires 16 and 18 accounting for the adjustability of tuning element 10. An adjustable two-port reactive network can be obtained by connecting two ports of tuning element 10 to the device being tested. Each of the remaining unconnected ports of tuning element 10 may be open-circuited or short-circuited. The open circuit configurations are usually preferable because of the inconvenience of creating a short circuit in a microstrip or stripline medium, and because of the possible requirement of maintaining a bias voltage on the transmission line when active devices are involved.

Tuners formed in accordance with the present invention, in order to match any impedance falling within the Smith chart, comprise two tuning elements as shown generally in FIG. 1 and described hereinabove, arranged in a complementary manner as will be described in greater detail hereinafter in association with FIGS. 6, 9, 11 and 14. To enable analysis of the tuners formed in accordance with the present invention, FIGS. 2-5 illustrate two alternative known parallel strip circuit arrangements and their equivalent circuits which do not include bridging wires, blocks or sliding contacts.

FIG. 2 illustrates a parallel-strip circuit 20 similar to tuning element 10 described hereinabove in association with FIG. 1. Parallel-strip circuit 20 comprises the conductive strips 12 and 14, and ports 22, 24, 26 and 28 associated with tuning element 10 of FIG. 1, but does not contain bridging wires 16 and 18, since wires 16 and 18 are unnecessary in the development of basic circuit configurations. In circuit 20, ports 22 and 24 are connected to form terminal 1 which is available for connection to a utilization circuit (not shown), as are ports 26 and 28 connected to form terminal 2 which is also available for connection to a utilization circuit (not shown).

FIG. 3 illustrates the equivalent circuit 30 associated with parallel-strip circuit 20 of FIG. 2. In accordance with the well-known transmission line theory, the interconnection of ports 22 and 24 and the interconnection of ports 26 and 28, as described hereinabove in association with FIG. 2, creates transmission line equivalent circuit 30 as shown in FIG. 3. The admittance of strip 12 of FIG. 2 is defined as Y₁₂ and the admittance of strip 14 of FIG. 2 is defined as Y₁₄. The admittance of circuit 30, Y₁₂ +Y₁₄, is obtained from the application of the well-known 4×4 admittance matrix of parallel-coupled lines, a detailed derivation of which is contained in the article "Even- and Odd-Mode Waves for Nonsymmetrical Coupled lines in Nonhomogeneous Media" by R. A. Speciale in IEEE Transactions on Microwave Theory and Techniques, Vol. MTT-23, No. 11, November 1975 at pp. 897-908. The distance Φ, as shown in FIG. 3, is defined as the electrical length of the equivalent circuit 30. From transmission line theory, Φ is defined by the well-known relation

    Φ=ωl/v,                                          (1)

where ω is the angular frequency of the mode of propagation, l is the physical length of either strip 12 or 14 of parallel-strip circuit 20 of FIG. 2, strips 12 and 14 being of equal length, and v is the velocity of propagation of the mode of propagation.

FIG. 4 illustrates a parallel-strip circuit 21 which is a variant of parallel-strip circuit 20 of FIG. 2. In the case of parallel-strip circuit 21, no connection is provided between ports 22 and 24, port 22 forms terminal 1 which is available for connection to a utilization circuit (not shown), and port 24 is open-circuited. Like parallel-strip circuit 20 of FIG. 2, ports 26 and 28 of parallel-strip circuit 21 are interconnected to form terminal 2.

FIG. 5 illustrates the equivalent circuit 31 associated with parallel-strip circuit 21 of FIG. 4. In accordance with the well-known transmission line theory, the interconnection of ports 26 and 28 and the open-circuit at port 24, as described hereinabove in association with FIG. 4, creates equivalent circuit 31 as shown in FIG. 5. The impedance of strip 12 of FIG. 4 is defined as Z₁₂ and the impedance of strip 14 is defined as Z₁₄. Further, the configuration of strips 12 and 14, in accordance with the present invention, yields the following relations:

    Z.sub.12 =1/Y.sub.12, Z.sub.14 =1/Y.sub.14,                (2)

where Y₁₂ and Y₁₄ are the admittances as described hereinabove in association with FIG. 3.

Equivalent circuit 31 comprises a series impedance formed by a short-circuited transmission line of characteristic impedance Z₁₂ ² /(Z₁₂ +Z₁₄) in cascade with another transmission line of characteristic admittance Y₁₂ +Y₁₄. Both transmission lines have an electrical length Φ, which may be obtained by employing equation (1).

FIG. 6 illustrates an exemplary tuner formed in accordance with the present invention comprising two tuning elements 10₁ and 10₂, each tuning element being as described hereinabove in association with FIG. 1. Tuning elements 10₁ and 10₂ share the conductive strip 14, with the portion designated 14₁ being the half of strip 14 associated with tuning element 10₁ and the portion designated 14₂ being the half of strip 14 associated with tuning element 10₂. Strips 12₁ and 12₂ are positioned on opposite sides of, and parallel to, strip 14; strip 12₁ being associated with tuning element 10₁ and strip 12₂ being associated with tuning element 10₂. Bridging wires 16₁ and 18₁ interconnect strips 12₁ and 14₁, and in a like manner, bridging wires 16₂ and 18₂ interconnect strips 12₂ and 14₂.

The electrical lengths Φ₁, θ₁, Φ₂, θ₂ and ψ can be obtained by using equation (1), where the length l of equation (1) is associated with each of the above-mentioned electrical lengths in the following manner: for Φ₁, l is defined as the distance measured between port 22₁ and bridging wire 16₁ ; for θ₁, l is defined as the distance measured between port 26₁ and bridging wire 18₁ ; for Φ₂, l is defined as the distance measured between port 22₂ and bridging wire 16₂ ; for θ₂, l is defined as the distance measured between port 26₂ and bridging wire 18₂ ; and for ψ l is defined as the entire length of either strip 12₁ or 12₂.

Each of tuning elements 10₁ and 10₂ is divided into three cascaded sections, tuning element 10₁ comprising cascaded sections 40₁, 40₂ and 40₃, and tuning element 10₂ comprising cascaded sections 40₄, 40₅ and 40₆. Each separate section may be analyzed by comparing the separate sections with parallel-strip circuits 20 and 21 of FIGS. 2 and 4, where the port interconnections of parallel-strip circuits 20 and 21 serve to perform in a like manner to bridging wires 16₁, 18₁, 16₂, and 18₂ of the tuner of FIG. 6. In the arrangement of FIG. 6, sections 40₁ and 40₄ can be seen to be similar to parallel-strip circuit 21 of FIG. 4 with one end of the parallel-strip sections 40₁ and 40₄ shorted by wires 16₁ and 16₂, respectively, sections 40₂ and 40₅ can be seen to be similar to parallel-strip circuit 20 of FIG. 2 with both ends of sections 40₂ and 40₅ short circuited by wires 16₁ and 18₁ and 16₂ and 18₂, respectively, and sections 40₃ and 40₆ can be seen to be similar to a mirror image of parallel-strip circuit 21 of FIG. 4 with one end of the sections 40₃ and 40₆ shorted with wires 18₁ and 18₂, respectively. The tuner arrangement of FIG. 6 can be seen to comprise six cascaded sections of parallel-strip circuits in accordance with FIGS. 2 and 4.

The tuner arrangements may, in turn, be analyzed by employing cascaded sections of equivalent circuits 30 and 31 of FIGS. 3 and 5, where equivalent circuits 30 and 31 are associated with parallel-strip circuits 20 and 21, respectively. This analysis is described in greater detail hereinafter in association with FIG. 7.

FIG. 7 illustrates an exemplary all-frequency equivalent circuit associated with the tuner of FIG. 6. As stated hereinabove in association with FIG. 6, FIG. 7 comprises cascaded sections of equivalent circuits 30 and 31 of FIGS. 3 and 5. Specifically, the overall equivalent circuit is divided into six cascaded sections, each separate section being of the form of equivalent circuit 30 or 31, as denoted by the numeral accompanying each section, and each separate section also being associated with its respective section of FIG. 6, as denoted by the subscript accompanying each numeral. For example, section 30₁ of FIG. 7 is of the form of equivalent circuit 30 and is related to the first section, 40₁, of the tuner of FIG. 6 between ports 22₁ and 24₁ and bridging wire 16₁, and section 31₅ of FIG. 7 is of the form of equivalent circuit 31 and is related to the fifth section, 40₅, of the tuner of FIG. 6.

The impedance or admittance of each section of FIG. 7 can be related to the appropriate section of FIG. 6 in the following manner: Z₁₂ ¹ and Y₁₂ ¹ are associated with the portion of strip 12₁ associated with section 40₁, Z₁₄ ¹ and Y₁₄ ¹ are associated with the portion of strip 14₁ associated with section 40₁, Z₁₂ ² and Y₁₂ ² are associated with the portion of strip 12₁ associated with section 40₂, and continuing in a like manner such that Z₁₄ ⁶ and Y₁₄ ⁶ are associated with section 40₆ of strip 14₂.

The notation may be simplified by the following reductions:

    Y.sub.12.sup.1 =Y.sub.12.sup.2 =Y.sub.12.sup.3 =Y.sub.12.sup.4 =Y.sub.12.sup.5 =Y.sub.12.sup.6 =Y.sub.12.                (3)

    Y.sub.14.sup.1 =Y.sub.14.sup.2 =Y.sub.14.sup.3 =Y.sub.14.sup.4 =Y.sub.14.sup.5 =Y.sub.14.sup.6 =Y.sub.14.                (4)

The arrows shown on the series impedance sections of the equivalent circuit of FIG. 7 are to illustrate the variability of these elements caused by the variations in Φ₁, θ₁, Φ₂ and θ₂ due to the movement of bridging wires 16₁, 18₁, 16₂ and 18₂, respectively. Note that the overall lengths of the cascaded transmission line sections Φ₁ +α₁ +θ₁ and Φ₂ +α₂ +θ₂, each of which being equal to ψ, do not change, since ψ is the electrical length of the entire tuning element, which cannot be varied. The variability of the equivalent circuit will be discussed in greater detail hereinafter in association with FIG. 8.

FIG. 8 illustrates a specific equivalent circuit of the all-frequency equivalent circuit of FIG. 7 depicted for the value of ψ=π/2. The specific value of ψ is chosen for illustrative purposes only and is not intended to limit the scope and spirit of the present invention. Using this value of ψ in association with the relations

    r=Z.sub.14 Y.sub.12, Y.sub.c =Y.sub.12 +Y.sub.14,          (5)

where Z₁₂ =Z₁₂ ¹ =Z₁₂ ³ =Z₁₂ ⁴ =Z₁₂ ⁶ in the present example if strips 12₁ and 12₂ are symmetric, in association with well-known definitions from transmission line theory, the equivalent circuit of FIG. 7 may be reduced to the specific equivalent circuit of FIG. 8. This specific circuit comprises four adjustable active elements, L₁, L₂, C₁ and C₂, where each element is defined as follows:

    jωL.sub.1 (Φ.sub.1)=j(r/Y.sub.c) tanΦ.sub.1  (5a)

    jωC.sub.1 (θ.sub.1)=jrY.sub.c tanθ.sub.1 (5b)

    jωL.sub.2 (θ.sub.2)=j(r/Y.sub.c) tanθ.sub.2 (5c)

    jωC.sub.2 (θ.sub.2)=jrY.sub.c tanθ.sub.2 (5d)

where ω is the angular frequency, and where each separate element is a function of one of the four electrical lengths Φ₁, θ₁, Φ₂ or θ₂.

It can be shown from well-known basic circuit theory techniques, that varying the values independently of Φ₁, θ₁, Φ₂ and θ₂ from 0 through π/2 by the movement of bridging wires 16₁, 18₁, 16₂ and 18₂, respectively will allow this equivalent circuit, and hence the tuner of FIG. 6, to be capable of matching any impedance falling within the Smith chart.

FIG. 9 illustrates a variant of the tuner of FIG. 6 where bridging wires 16₁ and 16₂ are positioned at the extreme left ends of tuning elements 10₁ and 10₂, respectively, thereby setting Φ₁ =Φ₂ =0. Therefore, under such conditions, only the movement of bridging wires 18₁ and 18₂ are capable of affecting the performance of the tuner.

FIG. 10 can be derived from FIG. 8, where in this case jrY_(c) tanΦ₁ =jwL₁ =0 and jrY_(c) tanΦ₂ =jωC₂ =0, since Φ₁ =Φ₂ =0 as shown hereinabove in association with FIG. 9. The equivalent circuit of FIG. 10, therefore, contains only two of the adjustable active elements of the circuit of FIG. 8, C₁ and L₂, which are functions of the distances θ₁ and θ₂, respectively. Varying the values of θ₁ and θ₂ from 0 through π/2 by the movement of bridging wires 18₁ and 18₂ will cause the tuner associated with FIG. 9 to be capable of matching exactly half of the impedance values falling within the Smith chart.

FIG. 11 illustrates another variant of the tuner of FIG. 6 where bridging wires 18₁ and 18₂ are positioned at the extreme right ends of tuning elements 10₁ and 10₂, respectively, thereby setting θ₁ =θ₂ =0. Therefore, under such conditions, only the movement of bridging wires 16₁ and 16₂ are capable of affecting the performance of the tuner.

FIG. 12 illustrates the equivalent circuit of the tuner of FIG. 11 for the value of ψ=π/2. This equivalent circuit is similar to the circuit of FIG. 8, where in this case jrY_(c) tanθ₁ =jωC₁ =0 and j(r/Y_(c)) tanθ₂ =jωL₂ =0, since θ₁ =θ₂ =0 as shown hereinabove in association with FIG. 11. The equivalent circuit of FIG. 12, therefore, contains only two of the adjustable active elements of the circuit of FIG. 8, L₁ and C₂, which are functions of Φ₁ and Φ₂, respectively. Varying the values of Φ₁ and Φ₂ from 0 thrpough π/2 by the movement of bridging wires 16₁ and 16₂ will cause the tuner of FIG. 11 to be capable of matching the impedances within the Smith chart not matched by the tuner of FIG. 9.

FIG. 13 illustrates the Smith chart coverage referred to hereinabove in association with FIGS. 10 and 12. The darker half of the Smith chart is associated with the tuner of FIG. 9, and the lighter half of the Smith chart is associated with the tuner of FIG. 11. Therefore, the combined use of the pair of tuners of FIGS. 9 and 11 will be capable of matching any impedance falling within the Smith chart.

FIG. 14 illustrates another variant of the tuner of FIG. 6. In this case, bridging wires 16₁ and 18₁ are merged to form a single bridging wire 19₁, likewise, bridging wires 16₂ and 18₂ are merged to form a single bridging wire 19₂. The distances Φ₁, θ₁, Φ₂ and θ₂ are redefined as follows: Φ₁ is defined as the electrical length measured between port 22₁ and bridging wire 19₁, calculated by using equation (1) where l is the physical length measured between port 22₁ and bridging wire 19₁. In a like manner, Φ₂ is defined as the electrical length measured between port 22₂ and bridging wire 19₂, calculated by using equation (1) where l is the physical length measured between port 22₂ and bridging wire 19₂. The distance θ₁ is defined as the electrical length measured between port 26₁ and bridging wire 19₁ , calculated by using equation (1) where l is the physical length measured between port 26₁ and bridging wire 19₁. Likewise, the distance θ₂ is defined as the electrical length measured between port 26₂ and bridging wire 19₂, calculated by using equation (1) where l is defined as the physical length measured between port 26₂ and bridging wire 19₂. The distances, as seen in FIG. 14 are interrelated as follows:

    Φ.sub.1 +θ.sub.1 =Φ.sub.2 +θ.sub.2 =Ψ. (6)

The interdependence of Φ₁ and θ₁, and of Φ₂ and θ₂ will be discussed in greater detail hereinafter in association with FIG. 15.

FIG. 15 illustrates the equivalent circuit of the tuner of FIG. 14. The four adjustable active elements L₁, C₁, L₂ and C₂ are as described hereinabove in association with FIG. 8. In this case, however, the four elements are not independent, rather, L₁ and C₁ are interdependent and L₂ and C₂ are interdependent as shown by the dotted lines in FIG. 15. This interdependence can be determined by referring to FIG. 14, where increasing Φ₁ can be seen to decrease θ₁. Similarly, increasing Φ₂ can be seen to decrease θ₂. Therefore, the value of L₁, j(r/Y_(c)) tanΦ₁, varies inversely proportional to C₁, jrY_(c) tanθ₁. Similarly, the value of L₂, j(r/Y_(c)) tanθ₂, varies inversely proportional to C₂, jrY_(c) tanΦ₂. Due to this interrelationship, varying the placement of bridging wires 19₁ and 19₂ will cause the tuner of FIG. 14 to be capable of matching any impedance falling within the Smith chart.

It is to be understood that the above-described embodiments are simply illustrative of the principles of the invention. Various other modifications and changes may be made by those skilled in the art which will embody the principles of the invention and fall within the spirit and scope thereof. 

I claim:
 1. A strip transmission line circuit comprisinga pair of tuning elements (10₁, 10₂) disposed over a round plane, each tuning element comprising a first strip of conductive material (12) comprising first and second terminals disposed at separate ends of said first strip; a second strip of conductive material (14) comprising first and second terminals disposed at separate ends of said second strip, said second strip equal in length to, and positioned in a parallel spaced-apart relationship with, said first strip to form a tuning element; characterized in that the strip transmission line circuit further comprises the second terminal of the first strip of one of the pairs of tuning elements being connected to a first terminal of the first strip of the other of the pairs of tuning elements; said connection defining a complementary interconnection of the pair of tuning elements, each tuning element further comprising at least one movable bridging wire (19) connecting the first and second strips, providing a shunt interconnection between said strips, said wire capable of moving along the entire length of said tuning element to provide a variable output impedance of said strip transmission line circuit.
 2. A strip transmission line circuit in accordance with claim 1characterized in that each tuning element further comprises a pair of movable bridging wires (16,18), each wire capable of moving along the entire length of said tuning element to provide a variable output impedance of the strip transmission line circuit. 